Covariant hamiltonian dynamics
arXiv:hep-th/0612216 · doi:10.1103/PhysRevD.75.025027
Abstract
We discuss the covariant formulation of the dynamics of particles with abelian and non-abelian gauge charges in external fields. Using this formulation we develop an algorithm for the construction of constants of motion, which makes use of a generalization of the concept of Killing vectors and tensors in differential geometry. We apply the formalism to the motion of classical charges in abelian and non-abelian monopole fields
15 pages, no figures